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Finding the Third Proportional to 7,373 and 10,270

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Solution

The third proportional to 7,373 and 10,270 is: 14,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,373 : 10,270 = 10,270 : x
  2. Step 2: Convert to fraction form
    7,373/10,270 = 10,270/x
  3. Step 3: Cross multiply
    7,373x = 10,270 × 10,270
  4. Step 4: Simplify right side
    7,373x = 105,472,900
  5. Step 5: Solve for x
    x = 105,472,900/7,373
  6. Step 6: Final answer
    x = 14,305.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.